164430000020 has 108 divisors (see below), whose sum is σ = 410990787900. Its totient is φ = 55193149440.

The previous prime is 164429999933. The next prime is 164430000041. The reversal of 164430000020 is 20000034461.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59301016324 + 105128983696 = 243518^2 + 324236^2 .

It is a super-3 number, since 3×164430000020³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 164429999947 and 164430000001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207956 + ... + 610004.

Almost surely, 2^164430000020 is an apocalyptic number.

164430000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164430000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205495393950).

164430000020 is an abundant number, since it is smaller than the sum of its proper divisors (246560787880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164430000020 is a wasteful number, since it uses less digits than its factorization.

164430000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402106 (or 402080 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 164430000020 its reverse (20000034461), we get a palindrome (184430034481).

The spelling of 164430000020 in words is "one hundred sixty-four billion, four hundred thirty million, twenty", and thus it is an aban number.